**Fraction Basics: Converting 0.02 to a Fraction**

In this article, we will explore the world of fractions and learn how to convert a decimal number, specifically 0.02, to a fraction.

**What is a Fraction?**

A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.

**Converting Decimals to Fractions**

To convert a decimal number to a fraction, we need to follow a few simple steps:

**Identify the decimal number**: In this case, our decimal number is 0.02.**Count the number of decimal places**: Our decimal number has 2 decimal places.**Multiply the decimal number by 10 to the power of the number of decimal places**: In this case, we multiply 0.02 by 10^2, which gives us 2.**Write the result as a fraction**: The numerator is the result from step 3, and the denominator is 10 to the power of the number of decimal places.

**Converting 0.02 to a Fraction**

Let's apply the steps above to convert 0.02 to a fraction:

**Identify the decimal number**: 0.02**Count the number of decimal places**: 2**Multiply the decimal number by 10 to the power of the number of decimal places**: 0.02 × 10^2 = 2**Write the result as a fraction**: 2/100

**Simplifying the Fraction**

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD is 2, so we can simplify the fraction as follows:

2 ÷ 2 = 1 100 ÷ 2 = 50

So, the simplified fraction is:

**1/50**

In conclusion, the fraction equivalent of the decimal number 0.02 is 1/50.